The expression \(\frac{4b - 20}{b - 5}\) can be simplified by factoring the numerator.

1. **Factor the numerator**: Notice that \(4b - 20\) has a common factor of 4.
   \[
   4b - 20 = 4(b - 5)
   \]
   So, the expression becomes:
   \[
   \frac{4(b - 5)}{b - 5}
   \]

2. **Simplify the expression**: Since \(b - 5\) is in both the numerator and the denominator, they cancel each other out, provided \(b \neq 5\).
   \[
   \frac{4(b - 5)}{b - 5} = 4
   \]

Thus, the simplified form of the expression is \( \boxed{4} \), as long as \( b \neq 5 \) (because \( b = 5 \) would make the original expression undefined).

Would you like to go into further detail or have any questions?

Here are 5 related questions you might find interesting:
1. What happens to the expression if \( b = 5 \)?
2. How do you factor more complex polynomials?
3. What is the importance of factoring in algebra?
4. Can this simplification method be applied to other expressions?
5. How do you determine when a fraction is undefined?

**Tip**: Always check for values that might make the denominator zero to avoid undefined expressions.

Simplify the expression (4b - 20)/(b - 5).

Discover how to simplify the expression (4b - 20)/(b - 5) by factoring and canceling common terms. This step-by-step guide is perfect for students in Grades 8-10 learning about algebraic simplification and rational expressions.

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